The base of a 15 foot ladder is 9 feet from a building. The top of the leaning ladder reaches and makes contact with the building’s roof. On the corner of the building, a 6 foot flagpole is erected on the roof. What is the height from the base of the building to the top of the flagpole? Please show your work.

9514 1404 393

  18 feet

Step-by-step explanation:

The ladder length represents the hypotenuse of a right triangle with a base of 9 and an unknown height (h). We can find that height by using the Pythagorean theorem.

  9² +h² = 15²

  h² = 225 -81 = 144

  h = √144 = 12

So, the ladder extends 12 feet up the side of the building. That is the height of the roof. The top of the flagpole is 6 feet above that, so the top of the flagpole is ...

  12 ft + 6 ft = 18 ft

above the ground.

The height to the top of the flagpole is 18 feet.

3.76%

step-by-step explanation:

-9

step-by-step explanation: